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OmniScriptum Symétries et Electromagnétisme: Contribution à la Modélisation des Structures Symétriques en Electromagnétisme (Omn.Univ.Europ.)

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Description

Les problèmes d'électromagnétisme mettent souvent en jeu des régions symétriques soumises à des contraintes magnétiques et électriques. Ces symétries sont cependant rarement exploitées lorsque les sources d'excitation deviennent quelconques et ne partagent plus les symétries géométriques de la structure. Leur traitement requiert l'emploi de la théorie de la représentation linéaire des groupes finis. Les modèles développés sur la base de cette théorie apportent des réductions très significatives en temps de calcul et en espace mémoire. Une décomposition analogue à la décomposition de Fortescue permet de reformuler le problème initial sur une géométrie restreinte. De nouveaux algorithmes de résolution dérivés des méthodes GMRES sont développés afin d'exploiter au mieux les caractéristiques topologiques des systèmes matriciels issus de la théorie des groupes. Par ailleurs, des méthodes originales permettent la prise en compte des non-linéarités mais aussi des symétries multiples et des défauts de symétrie. Ces concepts, appliqués au traitement par éléments finis des équations de Maxwell, aboutissent à des codes de calcul performant des logiciels de simulation.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
15 October 2010
Listed Since
18 October 2010

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